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Finding the Fourth Proportional to 20,241.68, 27,935.88 and 11,858

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Solution

The fourth proportional to 20,241.68, 27,935.88 and 11,858 is: 16,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241.68 : 27,935.88 = 11,858 : x
  2. Step 2: Convert to fraction form
    20,241.68/27,935.88 = 11,858/x
  3. Step 3: Cross multiply
    20,241.68x = 27,935.88 × 11,858
  4. Step 4: Simplify right side
    20,241.68x = 331,263,665.04
  5. Step 5: Solve for x
    x = 331,263,665.04/20,241.68
  6. Step 6: Final answer
    x = 16,365.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.